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		Graduate Research Assistant Mathematics Department Pennsylvania State University email: emeliane@math.psu.edu more contact information here	Curriculum Vitae: [html]   [pdf] Teaching Statement: [pdf] Research Statement: [pdf] List of Publications: [html] Teaching with Technology Portfolio Teaching webpages
RESEARCH My research is in the area of applied mathematics with main focus on the analysis and development of efficient numerical algorithms. Some of my recent projects include the design of fast new algorithms for quantization and clustering with the use of the concepts like centroidal Voronoi tessellations, and optimization methods for the determination of phase diagrams for multicomponent materials. In these works, theoretical and numerical ideas from the areas of multigrid methods and adaptive computations are being utilized and extended to meet new challenges. My earlier research activities include the analysis of multidimensional birth-death processes and development of efficient pricing schemes in next generation telecommunication networks, solution of ill-conditioned systems of linear equations and mathematical models in biology. I am a part of the MatCASE project at PSU which is funded by a major NSF-ITR grant to develop computational tools for multicomponent materials design. I have gained valuable research experience working on this and other interdisciplinary projects with people from materials science, physics, statistics, computer science and engineering. SELECTED PUBLICATIONS 1. Qiang Du, Maria Emelianenko, "Acceleration schemes for computing the centroidal Voronoi tessellations", submitted to Num. Lin. Alg. Appl., in proceedings of the XIIth Copper Mountain conference, Copper Mountain, Colorado, 2005 2. Qiang Du, Maria Emelianenko, "Uniform convergence of a multilevel energy-based quantization scheme", submitted to Lect. Notes Comp. Sci. Engr., in proceedings of the DD16 conference, Courant Inst., New York, 2005 3. Qiang Du, Maria Emelianenko and Lili Ju, "Convergence properties of the Lloyd algoritm for computing the centroidal Voronoi tessellations". To appear in SIAM J. Numer. Anal., 2005 4. Maria Emelianenko, Zi-Kui Liu, Qiang Du, "A New Algorithm for the Automation of Phase Diagram Calculation". To appear in Computational Materials Science, 2005 5. Mohamed Yacoubi, Maria Emelianenko, Natarajan Gautam, "Pricing in next generation networks: a queuing model to guarantee QoS", Performance Eval., 5, issue 1 (2003), 59-84 (Top 10 downloads from Performance Evaluation website in 2003) INVITED PRESENTATIONS 1. "Uniform convergence of a multilevel energy-based quantization scheme", invited presentation, Minisymposium on centroidal Voronoi tessellations, New Orleans, July 11-15 ,2005  SIAM Student Travel Award 2. "A Nonlinear Energy-based Multilevel Quantization Scheme", invited presentation, XII Copper Mountain Conference on Multigrid Methods, Colorado, April 3-8, 2005  Honorable Mention in the Student Paper Competition 3. "A New Algorithm for the Automation of Phase Diagram Calculation", invited talk, MCSD Seminar Series, NIST, Gaithersburg, MD, March 22, 2005 4. "Uniform Convergence of a Multigrid Enrgy-based Quantization Scheme", poster presentation, 16th International Conference on Domain Decomposition Methods, Courant Institute, NYU, January 12-15, 2005 5. "A New Algorithm for the Automation of Phase Diagram Calculation", poster presentation, NSF Division of Materials Research ITR Computational Workshop, UIUC, Urbana, IL, June 17-19, 2004